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Finding the Fourth Proportional to 407,119.51, 611,633.59 and 384,113.79

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Solution

The fourth proportional to 407,119.51, 611,633.59 and 384,113.79 is: 577,071.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,119.51 : 611,633.59 = 384,113.79 : x
  2. Step 2: Convert to fraction form
    407,119.51/611,633.59 = 384,113.79/x
  3. Step 3: Cross multiply
    407,119.51x = 611,633.59 × 384,113.79
  4. Step 4: Simplify right side
    407,119.51x = 234,936,893,288.04
  5. Step 5: Solve for x
    x = 234,936,893,288.04/407,119.51
  6. Step 6: Final answer
    x = 577,071.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.